The translation planes of order \(q_ 2\) that admit SL(2,q) as a collineation group. II: Odd order

DOI10.1007/BF01947645zbMath0527.51013MaRDI QIDQ786401

D. A. Foulser, Norman L. Johnson

Publication date: 1982

Published in: Journal of Geometry (Search for Journal in Brave)

zbMATH Keywords

Hall planecollineation grouptranslation complementDempwolff planeHering planeWalker planes

Mathematics Subject Classification ID

Finite affine and projective planes (geometric aspects) (51E15) Combinatorial aspects of finite geometries (05B25) Translation planes and spreads in linear incidence geometry (51A40)

Related Items (10)

The odd order analogue of Dempwolff's B-group problem ⋮ Solution to Dempwolff's nonsolvable B-group problem ⋮ Translation planes of order \(q^2\) admitting a two-transitive orbit of length \(q+1\) on the line at infinity ⋮ PSL(2,q) as a collineation group of projective planes of small order ⋮ Quadratic extensions of flag-transitive planes ⋮ 2-\((v,k,1)\) designs with a point-primitive rank 3 automorphism group of affine type ⋮ The non-solvable rank 3 affine planes ⋮ Infinite Baer nets ⋮ The translation planes of order \(q_ 2\) that admit SL(2,q) as a collineation group. I: Even order ⋮ The translation planes admitting a nonsolvable doubly transitive line-sized orbit

Cites Work

• The translation planes of order \(q_ 2\) that admit SL(2,q) as a collineation group. I: Even order
• A characterization of the Desarguesian planes of order \(q^ 2\) by \(SL(2,q)\)
• A characterization of some translation planes
• The geometry of SL(2,q) in translation planes of even order
• Baer p-elements in translation planes
• On shears of translation planes
• Translation Planes of Dimension Two with Odd Characteristic
• Endliche Gruppen I

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